The velocity-time graph of a particle moving along a straight line is shown in the adjacent figure. The average velocity is:
                     
1. \(1\) m/s
2. \(2\) m/s
3. less than \(1\) m/s
4. greater than \(2\) m/s
Subtopic:  Graphs |
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Which of the following statements is true about the motion depicted in the diagram? 
              
1. The acceleration is constant and non-zero.
2. The velocity changes suddenly during the motion.
3. The velocity is positive throughout.
4. All of the above are true.
Subtopic:  Graphs |
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A particle moving along a straight line undergoes a displacement \((x),\) which is shown in the adjacent figure, as a function of time \((t).\) The distance travelled by the particle from \(t=0\) to \(t=6~\text s\) is:
           
1. \(2~\text m\)
2. \(3~\text m\)
3. \(4~\text m\)
4. \(0~\text m\)  
Subtopic:  Graphs |
 69%
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The velocity \((v)\) and the displacement \((s)\) of a particle are related by the graph shown in the figure. The maximum magnitude of acceleration of the particle during the motion has the magnitude
                              
1. \(\dfrac{9}{4}~\text{m/s}^2\)

2. \(\dfrac{9}{2}~\text{m/s}^2\)

3. \(9~\text{m/s}^2\)

4. \(36~\text{m/s}^2\)
Subtopic:  Graphs |
 73%
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The velocity of a particle \((v)\) and the displacement \((s)\) are related to each other according to the given graph:

The initial velocity of the particle is:
1. \(27~\text{m/s}\) 2. \(3~\text{m/s}\)
3. \(8~\text{m/s}\) 4. \(\dfrac{27}{8}~\text{m/s}\)
Subtopic:  Graphs |
 75%
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The velocity of a particle \((v)\) and the displacement \((s)\) are related to each other according to the given graph:

The magnitude of the initial acceleration of the particle is:
1. \(\dfrac{27}{8}~\text{m/s}^2\) 2. \(\dfrac{9}{8}~\text{m/s}^2\)
3. \(\dfrac{3}{8}~\text{m/s}^2\) 4. zero
Subtopic:  Graphs |
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The velocity of a particle \((v)\) and the displacement \((s)\) are related to each other according to the given graph:

The acceleration of the particle:
1. is positive and its magnitude increases with time
2. is negative and its magnitude increases with time
3. is positive and its magnitude decreases with time
4. is negative and its magnitude decreases with time
Subtopic:  Graphs |
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